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10181340 = 223251319229
BaseRepresentation
bin100110110101…
…101011011100
3201011021011200
4212311223130
510101300330
61002115500
7152353131
oct46655334
921137150
1010181340
115824434
1234abb90
132156280
1414d0588
15d61a60
hex9b5adc

10181340 has 144 divisors (see below), whose sum is σ = 35162400. Its totient is φ = 2363904.

The previous prime is 10181323. The next prime is 10181357. The reversal of 10181340 is 4318101.

It is an interprime number because it is at equal distance from previous prime (10181323) and next prime (10181357).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44346 + ... + 44574.

Almost surely, 210181340 is an apocalyptic number.

10181340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10181340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581200).

10181340 is an abundant number, since it is smaller than the sum of its proper divisors (24981060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10181340 is a wasteful number, since it uses less digits than its factorization.

10181340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10181340 is about 3190.8212109111. The cubic root of 10181340 is about 216.7379594450.

Adding to 10181340 its reverse (4318101), we get a palindrome (14499441).

The spelling of 10181340 in words is "ten million, one hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 229 234 247 260 285 342 380 390 458 468 494 570 585 684 687 741 780 855 916 988 1140 1145 1170 1235 1374 1482 1710 2061 2223 2290 2340 2470 2748 2964 2977 3420 3435 3705 4122 4351 4446 4580 4940 5954 6870 7410 8244 8702 8892 8931 10305 11115 11908 13053 13740 14820 14885 17404 17862 20610 21755 22230 26106 26793 29770 35724 39159 41220 43510 44460 44655 52212 53586 56563 59540 65265 78318 87020 89310 107172 113126 130530 133965 156636 169689 178620 195795 226252 261060 267930 282815 339378 391590 509067 535860 565630 678756 783180 848445 1018134 1131260 1696890 2036268 2545335 3393780 5090670 10181340